簡約 999.9999800000000…(1.1*10^{-2})

解

簡約

999.9999800000000 \dots (1.1 \cdot 1 0^{- 2})

10.99999 \dots

解答ステップ

999.99998 (1.1 \cdot 1 0^{- 2})

1 0^{- 2} = \frac{1}{100}

= 999.99998 \cdot 1.1 \cdot \frac{1}{100}

1.1 \cdot \frac{1}{100} = \frac{1.1}{100}

= 999.99998 \cdot \frac{1.1}{100}

数を割る:

\frac{1.1}{100} = 0.011

= 999.99998 \cdot 0.011

数を乗じる:

999.99998 \cdot 0.011 = 10.99999 \dots

= 10.99999 \dots